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http://dx.doi.org/10.5831/HMJ.2011.33.3.347

REMARKS ON THE MAFFEI'S ISOMORPHISM

Kwon, Nam-Hee (Department of Mathematics, Daegu University)

Publication Information

Honam Mathematical Journal / v.33, no.3, 2011 , pp. 347-353 More about this Journal

Abstract

In [1], Maffei proved a certain relationship between quiver varieties of type A and the geometry of partial flag varieties over the nilpotent cone. This relation was conjectured by Naka-jima, and Nakajima proved his conjecture for a simple case. In the Maffei's proof, the key step was a reduction of the general case of the conjecture to the simple case treated by Nakajima through a certain isomorphism. In this paper, we study properties of this isomorphism.

Keywords

Quiver varieties; group actions; Maffei's isomorphisms;

Citations & Related Records

Reference

1	A. Maffei, Quiver varieties of type A, Comment. Math. Helv. 80 (2005), 1-27.
2	H. Nakajima, Instantons on ALE spaces, quiver varieties and Kac-Moody algebras, Duke Math. J. 76 (1994), 365-416. DOI
3	H. Nakajima, Quiver varieties and finite dimensional representations of quantum affine algebras, J. Amer. Math. Soc. 14 (2001), 145-238. DOI ScienceOn